Search a number
-
+
2225124980 = 225132658321
BaseRepresentation
bin1000010010100000…
…1011011001110100
312202001222001122022
42010220023121310
514024112444410
61004444052312
7106066151561
oct20450133164
95661861568
102225124980
11a42030371
12521234098
13295cba700
1417173b868
15d0531455
hex84a0b674

2225124980 has 36 divisors (see below), whose sum is σ = 5059862892. Its totient is φ = 821583360.

The previous prime is 2225124973. The next prime is 2225124983. The reversal of 2225124980 is 894215222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 995781136 + 1229343844 = 31556^2 + 35062^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2225124980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225124983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325781 + ... + 332540.

It is an arithmetic number, because the mean of its divisors is an integer number (140551747).

Almost surely, 22225124980 is an apocalyptic number.

2225124980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225124980 is an abundant number, since it is smaller than the sum of its proper divisors (2834737912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225124980 is a wasteful number, since it uses less digits than its factorization.

2225124980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658356 (or 658341 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2225124980 is about 47171.2304270304. The cubic root of 2225124980 is about 1305.5238287936.

The spelling of 2225124980 in words is "two billion, two hundred twenty-five million, one hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 658321 1316642 2633284 3291605 6583210 8558173 13166420 17116346 34232692 42790865 85581730 111256249 171163460 222512498 445024996 556281245 1112562490 2225124980